101221213000 has 256 divisors, whose sum is σ = 255879000000. Its totient is φ = 37342412800.

The previous prime is 101221212941. The next prime is 101221213003. The reversal of 101221213000 is 312122101.

It can be written as a sum of positive squares in 32 ways, for example, as 50643901764 + 50577311236 = 225042^2 + 224894^2 .

It is a super-2 number, since 2×101221213000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221213003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225436776 + ... + 225437224.

Almost surely, 2^101221213000 is an apocalyptic number.

101221213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127939500000).

101221213000 is an abundant number, since it is smaller than the sum of its proper divisors (154657787000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221213000 is a wasteful number, since it uses less digits than its factorization.

101221213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101221213000 its reverse (312122101), we get a palindrome (101533335101).

The spelling of 101221213000 in words is "one hundred one billion, two hundred twenty-one million, two hundred thirteen thousand".